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15.3.11: Chapter 12 Lab

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    Chi‐square tests for categorical data

    Open MINITAB file lab11.mpj from the website.

    1. A sample of motor vehicle deaths for a recent year in Montana is broken down by day of the week. Test the claim that fatalities occur with equal frequency on the different days (\(\alpha =5\%\)).
    Sun Mon Tue Wed Thu Fri Sat
    35 21 22 18 23 29 45
    1. State the null and alternative hypotheses in words.
    2. State the null and alternative hypotheses in population parameters.
    3. What model are you choosing and what assumptions are needed?
    4. The data is in the first 2 columns of the Mintab worksheet. Conduct the test at a significance level of 5%, using MINITAB command: Stat>Table > Chi Square Goodness of Fit. Set the Observed Counts to the column you just entered and choose Equal Proportions. Paste the results here.
    5. Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.
    1. Pew Research conducted a poll of 2000 American adults asking whether they Favor or Oppose same‐sex marriage. The data is summarized in the two‐way table shown below. Conduct a hypothesis test to determine if Americans’ opinions about same‐sex marriage are age related?

    clipboard_ee89754249a226757e7e7d6066fb5a344.png

    1. Before conducting the test, determine the percentage in each group that supports same sex marriage. Describe the trend.
    2. Now we will conduct the test. State the null and alternative hypotheses.
    3. What model are you choosing and what assumptions are needed?
    4. The table above has been entered in columns 4 to 7 of the Minitab file. Conduct the test at a significance level of 1%, using MINITAB command: Stat>Table > Crosstabulation/Chi Square. Choose Summarized Data. Highlight columns that contain the table. Paste the results here.

    clipboard_eea3d9331b2b2f10aa208765116de3c97.png

    1. Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.

    For questions 3 and 4, the popular data starts in column 9. Use the MINITAB command Stat>Table > Crosstabulation. Choose Raw Data. To run the Chi Square test of independence, Click Chi‐square and check the options as shown. Run these tests at a significance level of 5%.

    clipboard_e38677b5c45081d1b99daa62b13f47801.png

    1. Test for dependence between location and goal for elementary school students.
      1. State the null and alternative hypotheses.
      2. Run the test and paste the results here.
      3. Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.
    2. Test for dependence between gender and goal for elementary school students.
      1. State the null and alternative hypotheses.
      2. Run the test and paste the results here.
      3. Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.

     

    This page titled 15.3.11: Chapter 12 Lab is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Maurice A. Geraghty via source content that was edited to the style and standards of the LibreTexts platform.